Lad and Laq are
the mutual inductances of the stator d-axis and q-axis.

The rotor flux linkage equations are defined by

ψfd=Lffdifd+Lf1di1d−Ladid,

ψ1d=Lf1difd+L11di1d−Ladid,

ψ1q=L11qi1q+Laqi2q−Laqiq,

and

ψ2q=Laqi1q+L22qi2q−Laqiq,

where:

Lffd, L11d, L11q,
and L22q are the self-inductances
of the rotor field circuit, d-axis damper winding
1, q-axis damper winding 1, and q-axis
damper winding 2. Lf1d is
the rotor field circuit and d-axis damper winding
1 mutual inductance. They are defined by the following equations.

Lffd=Lad+Lfd

Lf1d=Lffd−Lfd

L11d=Lf1d+L1d

L11q=Laq+L1q

L22q=Laq+L2q

These equations assume that per-unit mutual inductance L12q = Laq,
that is, the stator and rotor currents in the q-axis
all link a single mutual flux represented by Laq.

The rotor torque is defined by

Te=Ψdiq−Ψqid.

These defining equations do not describe the time constants
you can set in the dialog box. To see their relationship with the
equation coefficients, see [1].

Plotting and Display Options

You can perform plotting and display actions using the Power
Systems menu on the block context menu.

Right-click the block and, from the Power
Systems menu, select an option:

Plot Saturation Factor (pu) plots
saturation factor,Ks, versus
magnetic flux linkage, ψat,
both measured in per-unit, in a MATLAB figure window using the
present machine parameters. This parameter is derived from other parameters
that you specify:

Main Tab

Nominal electrical frequency at which rated apparent power is
quoted. The default value is 60Hz.

Number of pole pairs

Number of machine pole pairs. The default value is 1.

Specify field circuit input required
to produce rated terminal voltage at no load by

Choose between Field circuit voltage and Field
circuit current. The default value is Field
circuit current.

Field circuit current

This parameter is visible only when Specify field
circuit input required to produce rated terminal voltage at no load
by is set to Field circuit current.
The default value is 1300A.

Field circuit voltage

This parameter is visible only when Specify field
circuit input required to produce rated terminal voltage at no load
by is set to Field circuit voltage.
The default value is 92.95 V.

Impedances Tab

Stator resistance, Ra

Stator resistance. The default value is 0.003 pu.

Stator leakage reactance, Xl

Stator leakage reactance. The default value is 0.15 pu.

d-axis synchronous reactance, Xd

The d-axis synchronous reactance. The default
value is 1.81 pu.

q-axis synchronous reactance, Xq

The q-axis synchronous reactance. The default
value is 1.76 pu.

zero-sequence reactance, X0

The zero-sequence reactance. The default value is 0.15 pu.

d-axis transient reactance, Xd'

The d-axis transient reactance. The default
value is 0.3 pu.

q-axis transient reactance, Xq'

The q-axis transient reactance. The default
value is 0 pu.

d-axis subtransient reactance, Xd''

The d-axis subtransient reactance. The default
value is 0.23 pu.

q-axis subtransient reactance, Xq''

The q-axis subtransient reactance. The default
value is 0.25 pu.

Time Constants Tab

Specify d-axis transient time constant

Select between Open-circuit value and Short-circuit
value. The default value is Open-circuit
value.

d-axis transient open-circuit, Td0'

The d-axis transient open-circuit time constant.
This parameter is visible only when Specify d-axis transient
time constant is set to Open-circuit value.
The default value is 8s.

d-axis transient short-circuit, Td'

The d-axis transient short-circuit time constant.
This parameter is visible only when Specify d-axis transient
time constant is set to Short-circuit value.
The default value is 1.326s.

Specify d-axis subtransient time constant

Select between Open-circuit value and Short-circuit
value. The default value is Open-circuit
value.

d-axis subtransient open-circuit, Td0''

The d-axis subtransient open-circuit time
constant. This parameter is visible only when Specify d-axis
subtransient time constant is set to Open-circuit
value. The default value is 0.03s.

d-axis subtransient short-circuit, Td''

The d-axis subtransient short-circuit time
constant. This parameter is visible only when Specify d-axis
subtransient time constant is set to Short-circuit
value. The default value is 0.023s.

Specify q-axis transient time constant

Select between Open-circuit value and Short-circuit
value. The default value is Open-circuit
value.

q-axis transient open-circuit, Tq0'

The q-axis transient open-circuit time constant.
This parameter is visible only when Specify q-axis transient
time constant is set to Open-circuit value.
The default value is 1s.

q-axis transient short-circuit, Tq'

The q-axis transient short-circuit time constant.
This parameter is visible only when Specify q-axis transient
time constant is set to Short-circuit value.
The default value is 0.3693s.

Specify q-axis subtransient time constant

Select between Open-circuit value and Short-circuit
value. The default value is Open-circuit
value.

q-axis subtransient open-circuit, Tq0''

The q-axis subtransient open-circuit time
constant. This parameter is visible only when Specify q-axis
subtransient time constant is set to Open-circuit
value. The default value is 0.07s.

q-axis subtransient short-circuit, Tq''

The q-axis subtransient short-circuit time
constant. This parameter is visible only when Specify q-axis
subtransient time constant is set to Short-circuit
value. The default value is 0.0269s.

Saturation Tab

Magnetic saturation representation

Block magnetic saturation representation. Options are:

None

Per-unit open-circuit lookup table (Vag
versus ifd)

The default value is None.

Per-unit field current saturation data,
ifd

The field current, ifd,
data populates the air-gap voltage, Vag,
versus field current, ifd,
lookup table. This parameter is only visible when you set Magnetic
saturation representation to Per-unit open-circuit
lookup table (Vag versus ifd). This parameter must contain
a vector with at least five elements. The default value is [0.00,
0.48, 0.76, 1.38, 1.79] pu.

Per-unit air-gap voltage saturation
data, Vag

The air-gap voltage, Vag,
data populates the air-gap voltage, Vag,
versus field current, ifd,
lookup table. This parameter is only visible when you set Magnetic
saturation representation to Per-unit open-circuit
lookup table (Vag versus ifd). This parameter must contain
a vector with at least five elements. The default value is [0.00,
0.80, 1.08, 1.31, 1.40] pu.

Initial Conditions Tab

Specify initialization
by

Select between Electrical power and voltage output and Mechanical
and magnetic states. The default value is Electrical
power and voltage output.

Terminal voltage magnitude

Initial RMS line-line voltage. This parameter is visible only
when you set Specify initialization by to Electrical
power and voltage output. The default value is 24e3V.

Terminal voltage angle

Initial voltage angle. This parameter is visible only when you
set Specify initialization by to Electrical
power and voltage output. The default value is 0deg.

Terminal active power

Initial active power. This parameter is visible only when you
set Specify initialization by to Electrical
power and voltage output. The default value is 500e6V*A.

Terminal reactive power

Initial reactive power. This parameter is visible only when
you set Specify initialization by to Electrical
power and voltage output. The default value is 0V*A.

Initial rotor angle

Initial rotor angle. During steady-state operation, set this
parameter to the sum of the load angle and required terminal voltage
offset. This parameter is visible only when you set Specify
initialization by to Mechanical and magnetic
states. The default value is 0deg.

Initial stator d-axis magnetic flux
linkage

Stator d-axis initial flux linkage. This
parameter is visible only when you set Specify initialization
by to Mechanical and magnetic states.
The default value is 0 pu.

Initial stator q-axis magnetic flux
linkage

Stator q-axis initial flux linkage. This
parameter is visible only when you set Specify initialization
by to Mechanical and magnetic states.
The default value is 0 pu.

Initial stator zero-sequence magnetic
flux linkage

Zero-sequence initial flux linkage. This parameter is visible
only when you set Specify initialization by to Mechanical
and magnetic states. The default value is 0 pu.

Initial field circuit magnetic flux
linkage

Field circuit initial flux linkage. This parameter is visible
only when you set Specify initialization by to Mechanical
and magnetic states. The default value is 0 pu.

Initial d-axis damper winding 1 magnetic flux linkage

The d-axis damper winding 1 initial flux
linkage. This parameter is visible only when you set Specify
initialization by to Mechanical and magnetic
states. The default value is 0 pu.

Initial q-axis damper winding 1 magnetic
flux linkage

The q-axis damper winding 1 initial flux
linkage. This parameter is visible only when you set Specify
initialization by to Mechanical and magnetic
states. The default value is 0 pu.

Initial q-axis damper winding 2 magnetic
flux linkage

The q-axis damper winding 2 initial flux
linkage. This parameter is visible only when you set Specify
initialization by to Mechanical and magnetic
states. The default value is 0 pu.

Ports

The block has the following ports:

fd+

Electrical conserving port corresponding to the field winding
positive terminal

fd-

Electrical conserving port corresponding to the field winding
negative terminal